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116 lines
3.1 KiB
116 lines
3.1 KiB
% Sets
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\D}{\mathcal{D}}
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\newcommand{\T}{\mathcal{T}}
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\newcommand{\Ell}{\mathcal{L}}
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% Random Variable
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\newcommand{\rv}[1]{\bm{#1}}
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\newcommand{\map}[1]{#1^{\text{MAP}}}
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% Matrix
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\newcommand{\mat}[1]{\bm{#1}}
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\newcommand{\inv}{^{\raisebox{.2ex}{$\scriptscriptstyle-\mkern-1.5mu1$}}}
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\newcommand{\tran}{^{\mkern-1.5mu\raisebox{.2ex}{$\scriptscriptstyle\mathsf{T}$}}}
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\newcommand{\itran}{^{\raisebox{.2ex}{$\scriptscriptstyle-\mkern-1.5mu\mathsf{T}$}}}
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\newcommand{\Eye}{\mat{\mathrm{I}}}
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% Pseudo Inputs
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\newcommand{\ps}[1]{\bar{#1}}
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\newcommand{\psmat}[1]{\ps{\mat{#1}}}
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% Nicer empty set
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\renewcommand{\emptyset}{\varnothing}
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% Math operators
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% General
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\DeclareMathOperator{\id}{id}
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\DeclareMathOperator*{\argmax}{argmax}
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\DeclareMathOperator*{\argmin}{argmin}
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\DeclareMathOperator{\atanTwo}{atan2}
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\DeclareMathOperator{\sgn}{sgn}
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\DeclareMathOperator{\diag}{diag}
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\DeclareMathOperator{\tr}{tr}
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\DeclareMathOperator*{\maximize}{maximize}
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\DeclareMathOperator*{\minimize}{minimize}
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\DeclareMathOperator{\subjectto}{subject\ to}
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\DeclareMathOperator{\Oh}{\mathcal{O}}
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\DeclareMathOperator{\softmax}{softmax}
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\newcommand{\Powerset}[1]{2^{#1}}
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\newcommand*{\diff}{\mathop{}\!\mathrm{d}}
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\DeclarePairedDelimiter{\abs}{\vert}{\vert}
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\newcommand{\nth}[2][th]{#2^{\text{#1}}}
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% Probabilities
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\DeclareMathOperator{\E}{\mathbb{E}}
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\DeclareMathOperator{\cov}{cov}
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\DeclareMathOperator{\var}{var}
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\DeclareMathOperator{\corr}{\varrho}
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\DeclareMathOperator{\p}{p}
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\DeclareMathOperator{\q}{q}
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\DeclareMathOperator{\KLdiv}{KL}
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\DeclareMathOperator{\K}{\mathcal{K}}
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\DeclareMathOperator{\Q}{\mathcal{Q}}
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\DeclareMathOperator{\Norm}{\mathcal{N}}
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\DeclareMathOperator{\Multi}{\mathcal{M}}
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\DeclareMathOperator{\Ber}{\mathcal{B}}
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\DeclareMathOperator{\Uni}{\mathbb{U}}
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\DeclareMathOperator{\Ind}{\mathbb{I}}
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\DeclareMathOperator{\GP}{\mathcal{GP}}
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\DeclareMathOperator{\SPGP}{\mathcal{SPGP}}
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\DeclareMathOperator{\indep}{\perp\mkern-9.5mu\perp}
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\DeclareMathOperator{\nindep}{\centernot{\indep}}
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\providecommand\given{}
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\DeclarePairedDelimiterX{\Cond}[1]{(}{)}{
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\renewcommand\given{%
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\nonscript\mkern2mu
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\delimsize\vert
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\nonscript\mkern2mu
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\mathopen{}
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\allowbreak}
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#1
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}
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\makeatletter
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\newcommand{\Fun}{\@ifstar\@sfun\@fun}
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\newcommand{\@fun}[1]{#1\Cond}
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\newcommand{\@sfun}[1]{#1\Cond*}
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\makeatother
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\newcommand{\Prob}{\p\Cond}
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\newcommand{\aProb}{\tilde{\p}\Cond}
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\newcommand{\Variat}{\q\Cond}
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\newcommand{\Gaussian}{\Norm\Cond}
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\newcommand{\Multinomial}{\Multi\Cond}
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\newcommand{\Uniform}{\Uni\Cond}
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\newcommand{\Indicator}{\Ind\Cond}
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\DeclarePairedDelimiterX{\KLdelim}[2]{(}{)}{%
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#1\mkern2mu\delimsize\|\mkern2mu#2%
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}
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\newcommand{\KL}{\KLdiv\KLdelim}
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\DeclarePairedDelimiterXPP{\Moment}[2]{#1}{[}{]}{}{
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\renewcommand\given{%
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\nonscript\mkern2mu
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\delimsize\vert
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\nonscript\mkern2mu
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\mathopen{}
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\allowbreak}
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#2
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}
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\providecommand\with{}
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\DeclarePairedDelimiterX{\Set}[1]{\{}{\}}{
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\renewcommand\with{%
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\nonscript\mkern2mu
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\delimsize\vert
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\nonscript\mkern2mu
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\mathopen{}
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\allowbreak}
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#1
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}
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\DeclarePairedDelimiterXPP{\pix}[1]{\begingroup\scriptscriptstyle}{(}{)}{\endgroup}{\mkern-2mu#1\mkern-2mu}
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